Let S be the circle in the x-y plane defined by the equation x + y...

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Let S be the circle in the x-y plane defined by the equation x + y = 4. Let P be a point on the circle S with both coordinates being positive. Let the tangent to S at P intersect the coordinate axes at the points M and N. Then, the mid-point of the line segment MN must lie on the curve (A) (x + y) = 3xy 2/3 (B) x2 + y2/3=1 = 24/3 (D) x + y = xy 2 (C) x + y = 2xy Let S be the circle in the x-y plane defined by the equation x + y = 4. Let P be a point on the circle S with both coordinates being positive. Let the tangent to S at P intersect the coordinate axes at the points M and N. Then, the mid-point of the line segment MN must lie on the curve (A) (x + y) = 3xy 2/3 (B) x2 + y2/3=1 = 24/3 (D) x + y = xy 2 (C) x + y = 2xy

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